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On isolated fixed points of group actions on poincaré complexes

Published online by Cambridge University Press:  26 February 2010

J. P. E. Hodgson
J. P. E. Hodgson
Affiliation:
Department of Mathematics, Adelphi University, Garden CityN. Y., 11530, U.S.A.
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Abstract

In this paper it is shown that a simplicial action of Zp (p a prime) on an n-dimensional simplicial complex which is a Poincaré duality space of formal dimension n for Zp coefficients cannot have just one isolated fixed point.

Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 114 - 115
Copyright
Copyright © University College London 1974

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References

1.Bredon, G.. “Fixed point sets of action on Poincare duality spaces”, Topology, 12 (1973), 145–159.CrossRefGoogle Scholar
2.Jones, L.. “Patch spaces”, Annals of Math., 97 (1973), 306–343.CrossRefGoogle Scholar
3.Quinn, F.. “Surgery on Poincare and normal spaces”, Bull. Amer. Math. Soc, 78 (1972), 262–267.CrossRefGoogle Scholar
4.Wall, C. T. C.. Surgery on Compact Manifolds (Academic press, 1970).Google Scholar